What is factor x^2-5x+(-25) ?

The solution to factor x^2-5x+(-25) is (x-(5(sqrt(5)+1))/2)(x+(5(sqrt(5)-1))/2)

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factor x^2-5x+(-25)

factor

x^{2} - 5 x + (- 25)

(x - \frac{5 ( 5 + 1 )}{2}) (x + \frac{5 ( 5 - 1 )}{2})

Solution steps

x^{2} - 5 x + (- 25)

Solve

x^{2} - 5 x + (- 25) = 0 : x = \frac{5 + 5 5}{2}, x = \frac{5 - 5 5}{2}

Polynom can therefore be factored into

= (x - (\frac{5 + 5 5}{2})) (x - (\frac{5 - 5 5}{2}))

Refine

= (x - \frac{5 + 5 5}{2}) (x - \frac{5 - 5 5}{2})

Factor

5 + 55 : 5 (5 + 1)

= (x - \frac{5 ( 1 + 5 )}{2}) (x - \frac{5 - 5 5}{2})

Factor

5 - 55 : - 5 (5 - 1)

= (x - \frac{5 ( 1 + 5 )}{2}) (x - \frac{- 5 ( 5 - 1 )}{2})

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= (x - \frac{5 ( 1 + 5 )}{2}) (x - (- \frac{5 ( 5 - 1 )}{2}))

Apply rule

- (- a) = a

= (x - \frac{5 ( 5 + 1 )}{2}) (x + \frac{5 ( 5 - 1 )}{2})

(y + m) (a + b) - (y + m) (a + b)

\frac{4 - x ^{2}}{4}

\frac{3}{x ^{2} - 4}

(3 c m) (cos (4 0^{\circ}))

- x^{2} \cdot 5 + (- 3 x)

What is factor x^2-5x+(-25) ?
The solution to factor x^2-5x+(-25) is (x-(5(sqrt(5)+1))/2)(x+(5(sqrt(5)-1))/2)